Q: What are the factor combinations of the number 408,133,885?

 A:
Positive:   1 x 4081338855 x 8162677741 x 9954485139 x 2936215205 x 1990897695 x 5872435699 x 7161514323 x 28495
Negative: -1 x -408133885-5 x -81626777-41 x -9954485-139 x -2936215-205 x -1990897-695 x -587243-5699 x -71615-14323 x -28495


How do I find the factor combinations of the number 408,133,885?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 408,133,885, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 408,133,885
-1 -408,133,885

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 408,133,885.

Example:
1 x 408,133,885 = 408,133,885
and
-1 x -408,133,885 = 408,133,885
Notice both answers equal 408,133,885

With that explanation out of the way, let's continue. Next, we take the number 408,133,885 and divide it by 2:

408,133,885 ÷ 2 = 204,066,942.5

If the quotient is a whole number, then 2 and 204,066,942.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 408,133,885
-1 -408,133,885

Now, we try dividing 408,133,885 by 3:

408,133,885 ÷ 3 = 136,044,628.3333

If the quotient is a whole number, then 3 and 136,044,628.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 408,133,885
-1 -408,133,885

Let's try dividing by 4:

408,133,885 ÷ 4 = 102,033,471.25

If the quotient is a whole number, then 4 and 102,033,471.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 408,133,885
-1 408,133,885
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

15411392056955,69914,32328,49571,615587,2431,990,8972,936,2159,954,48581,626,777408,133,885
-1-5-41-139-205-695-5,699-14,323-28,495-71,615-587,243-1,990,897-2,936,215-9,954,485-81,626,777-408,133,885

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